Projections Onto Convex Sets (POCS) is an important algorithm for many image processing and video processing applications. Slow convergence is one of its limitations. In this paper, an acceleration algorithm for POCS is presented. The algorithm is based on the observation that the trajectory of iterations can be approximated as a straight line at the vicinity of the convergence point. As a result, a fast convergence algorithm can be derived. The proposed algorithm has a quadratic convergence rate as comparing to the linear rate of the standard POCS.